Answer:
y - 8 = - [tex]\frac{2}{3}[/tex](x + 3)
Step-by-step explanation:
y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form with slope m = - [tex]\frac{2}{3}[/tex]
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - [tex]\frac{2}{3}[/tex] and (a, b) = (- 3, 8), thus
y - 8 = - [tex]\frac{2}{3}[/tex] (x - (- 3)), that is
y - 8 = - [tex]\frac{2}{3}[/tex] (x + 3)
